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Lie Action of Certain Skews in *-Rings

Published online by Cambridge University Press:  20 November 2018

M. Chacron
M. Chacron*
Affiliation:
Carleton University, Ottawa, Ontario
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A *-ring is an associative ring R with an anti-automorphism * of period 2 (involution). Call x ∈ R skew (symmetric) if x = - x* (x = x*) and let K(S) be the additive subgroup of all skews (symmetries). If [a, b] denotes the Lie product of a, b ∈ R (that is, ab — ba) and if [A, B] denotes the Lie product of the additive subgroups A and B of R (that is, the additive subgroup generated by [a, b], a and b ranging over A and B) then clearly [K, K] is an additive subgroup contained in K.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 4 , 01 August 1978 , pp. 700 - 710
Copyright
Copyright © Canadian Mathematical Society 1978

References

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